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Algoritmo de Lerchs-Grossmann×Modelo de Ley de Corte de Lane×Optimización de la disposición de tajos×
CampoIngeniería de minasIngeniería de minasIngeniería de minas
FamiliaProcess / pipelineProcess / pipelineProcess / pipeline
Año de origen196519881960
Autor originalHelmut Lerchs and Israel GrossmannK. F. LaneMining Engineering Practice
TipoGraph-theoretic algorithm for pit limit optimizationEconomic optimization framework for ore classificationOptimization framework for underground mine excavation design
Fuente seminalLerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54. link ↗Lane, K. F. (1988). The economic definition of ore: cutoff grades in theory and practice. Mining Journal Books, London. link ↗Brady, B. H. G., & Brown, E. T. (2004). Rock mechanics for underground mining. Springer Science+Business Media. link ↗
AliasLerchs-Grossmann Method, LG AlgorithmLane Model, Cut-off Grade Optimization, Lane's Optimization ModelStope Design, Underground Mine Layout, Panel Design
Relacionados433
ResumenThe Lerchs-Grossmann Algorithm is a graph-theoretic method for determining the ultimate pit limit in open-pit mining operations. Introduced by Helmut Lerchs and Israel Grossmann in 1965, it maximizes the net present value of extracted ore while respecting slope stability constraints. This algorithm forms the theoretical foundation for most modern pit optimization software.Lane's Cut-off Grade Model, developed by Kenneth F. Lane and formalized in his 1988 book, provides a rigorous economic framework for determining the minimum grade at which ore should be mined and processed. It accounts for variable mining costs, metallurgical recovery, and commodity prices to optimize profit per unit processed. The model is foundational in mining economics and underpins daily operational decisions at thousands of mines worldwide.Stope layout optimization is the process of designing the size, shape, and spatial arrangement of underground mine excavations (stopes) to maximize ore recovery while maintaining safety and economic viability. It balances the desire for large extraction volumes against rock mechanics constraints and support costs. The layout determines mining productivity, capital investment in support systems, and long-term mine life.
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ScholarGateComparar métodos: Lerchs-Grossmann Algorithm · Cut-off Grade (Lane) · Stope Layout. Recuperado el 2026-06-19 de https://scholargate.app/es/compare